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Finding the Fourth Proportional to 347,765.70, 521,295.64 and 197,695.90

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Solution

The fourth proportional to 347,765.70, 521,295.64 and 197,695.90 is: 296,343.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,765.70 : 521,295.64 = 197,695.90 : x
  2. Step 2: Convert to fraction form
    347,765.70/521,295.64 = 197,695.90/x
  3. Step 3: Cross multiply
    347,765.70x = 521,295.64 × 197,695.90
  4. Step 4: Simplify right side
    347,765.70x = 103,058,010,715.88
  5. Step 5: Solve for x
    x = 103,058,010,715.88/347,765.70
  6. Step 6: Final answer
    x = 296,343.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.